Title : ON THE STABILITY OF LIQUID LAYERS SPREAD OVER SIMPLE CURVED BODIES

Corporate Author : STANFORD UNIV CALIF

Personal Author(s) : BEAM,RICHARD M. ; ANLIKER,MAX

Report Date : JUN 1961

Pagination or Media Count : 1

Abstract : The stability of liquid layers spread over simple curved bodies is investigated theoretically. It is assumed that the fluid is incompressible and inviscid and the flow irrotational. The effects of surface tension and uni-directional body forces are included. As the differential equation governing the equilibrium of liquid layers in the presence of surface tension is highly nonlinear, the problem of stability is studied by means of an inverse method. That is, the shape of the liquid layer is prescribed and the criterion for its stability established. The equations of motion for small perturbations about the equilibrium con iguration and the boundary conditions are developed for the general two-dimensional case, the three-dime sional case with axial symmetry, and the special case of a layer of uniform thickness spread over a rigid sphere. (Author)